How do you write the equation #-3x-6y =-24# in slope-intercept form?

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Answer 1 · 2016-12-13T20:24:16

#y = -1/2x + 4#

To transform this equation to slope-intercept form we must solve for #y# while keeping the equation balanced:

#-3x + 3x - 6y = -24 + 3x#

#0 - 6y = 3x - 24#

#-6y = 3x - 24#

#(-6y)/-6 = (3x - 24)/(-6)#

#(cancel(-6)y)/cancel(-6) = (3x)/(-6) - 24/(-6)#

#y = -1/2x + 4#